2.7. The power radiated by a lossless antenna is 10 watts. The directional characteristics of theantenna are represented by the radiation intensity of(a) U = B, cos? 0(b) U = B, cos³ 0 ƒ(watts/unit solid angle)(0 <0<1/2,0< ¢ < 2n)For each, find the(a) maximum power density (in watts/square meter) at a distance of 1,000 m (assume far-field distance). Specify the angle where this occurs.(b) exact and approximate beam solid angle Q4.(c) directivity, exact and approximate, of the antenna (dimensionless and in dB).(d) gain, exact and approximate, of the antenna (dimensionless and in dB).

“Since you have asked multiple questions with multiple sub-parts, we will solve the first question…

2.7. The power radiated by a lossless antenna is 10 watts. The directional characteristics of the antenna are represented by the radiation intensity of (a) U = B, cos² 0 (watts/unit solid angle) (b) U = B, cos³ 0 S (0<0

2.7. The power radiated by a lossless antenna is 10 watts. The directional characteristics of the antenna are represented by the radiation intensity of (a) U = B, cos² 0 (watts/unit solid angle) (b) U = B, cos³ 0 S (0<0

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter14: Basic Trigonometry And Vectors

Section: Chapter Questions

Problem 1RQ: 1. Which trigonometric function is used to find the angle if the length of the hypotenuse and of the...

See similar textbooks

Related questions

Q: 5.30. A small circular electric loop, of uniform current Io, is placed horizontally/parallel at zero…

A: Given : Circular electric loop having uniform current Io which is placed at height h =0onto a…

Q: Find the radiation efficiency of a six-turn small circular loop at f=300 MHz, the radius of the toop…

Q: . Determine the (a) direction of maximum radiation, (b) directivity, (c) beam solid angle, and (d)…

A: Given data: The given function is F0,θ=1, for 0≤ϕ≤60 and 0≤ϕ≤2π0, elsewhere

Q: What will be the free space path loss if the distance between the two isotropic antenna is 2.5 km…

A: The free space path loss is dependent on frequency. It can be expressed as

Q: [Q2] A short dipole antenna with a uniform current distribution in free space of 3 A at frequency of…

A: The Poynting vector denotes both the propagation direction and the energy flow density, or…

Q: [Q2] A short dipole antenna with a uniform current distribution in free space of 3 A at frequency of…

A: Given, f = frequency = 10 MHz = 10×106 Hz Average Pointing Vector - <S> =…

Q: The Ohmic loss resistance of the dipole, ta effective cross-sectional area of the dipole…

A: (a) Given quantities are as follows : l=λ10a=λ40Rrad=80π2lλ2σ=5.7×107Sm-1f=5GHz In order to…

Q: Explain why input impedance of an antenna is important while choosing antenna for communication. A…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Qs: Calculate the power must be transmitted by an antenna if the required electrical field strength…

A: Electric field strength Eθs=2 MV/m, Distance r=3 km=3×103 m, Impedance of free-space η=120π.

Q: A horizontal infinitesimal electric dipole of constant current I0 is placed symmetrically about the…

A: Part (a) Fig: Oriented co-ordinate Although the equation of electric field of the…

Q: A slab of dielectric material has a relative dielectric constant of 3.8 and contains a uniform…

A: The average number of the dipole per cubic meter is expressed as:

Q: Calculate the radiation resistance of a short dipole (with a triangular current distribution) of…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: 2. The E-field pattern of an antenna, independent of ø, varies as follows: 0° <0< 45° 45° < 0 < 90°…

A: Directivity and radiation resistance for a given E-field is as shown below

Q: :Design an antenna with omnidirectional amplitude pattern with half-power beamwidth of 900 with…

A: Since the half-power bandwidth is 90° the angle at which the half-power period occurs is θ = 45°

Q: Calculate the radiation efficiency, in %, for a half wavelength dipole antenna whose radiation…

Q: In the calculation of the radar cross-section for the surfaces and shapes more physical area will…

A: let the incident power = Ei Reflected power = Er

Q: Solve A. Thanks

Q: 14.25 A six-element linear dipole array has element spacing d = N2. (a) Select the appropriate…

Q: A 100-turn loop antenna of radius 20 cm operating at 10 MHz in air is to give a 50 mV/m ﬁeld…

Q: Q3/The power radiated by a lossless antenna is 10 watts. The directional characteristics of the…

A: Prad=∫θ∫ϕ Uθ,ϕ.sinθdθdϕ =Bo ∫θ=0π2∫ϕ=02π cos2θ sinθ dθ dϕ =∫0π2 2πBo2 sin2θ cosθdθ…

Q: Iis the current required to radiate power of 100 W at 100 MHz from a 0.01 m. Hertzian dipole JE| and…

Q: An electric ﬁeld strength of 10 µV/m is to be measured at an observation point θ = π/2, 500 km from…

A: we have to find, (a) What is the length of the dipole (b) Calculate the current that must be fed to…

Q: A short vertical grounded antenna is designed to radiate at 10 MHz. If the radiation resistance of…

A: A grounded antenna is basically a monopole antenna, The radiation resistance (Rr) of a short…

Q: Q2-A] A lossless uniform aperture antenna, operating at 10 GHz, has a gain of 10 dB and overall…

A: Given data : Frequency of operation , f=10 GHz…

Q: A λ / 2 dipole , with a total loss resistance of 1 ohm , is connected to a generator whose internal…

A: Antenna:- It's main purpose is to transmit and receive signals between wireless points. It consists…

Q: A 1-m long dipole antenna is driven by a 150 MHz source having a source resistance of 50 ohms and a…

A: length of antenna=1 m Frequency of source f=150 MHz Source resistance =50 Ω Source voltage =100 V…

Q: 2.7. The power radiated by a lossless antenna is 10 watts. The directional charac- teristics of the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q6: For an antenna whose radiation intensity given by U(0, 4) = A, sin® w/sr %3D Find: 1- Its…

Q: An isotropic antenna is radiating evenly in the r–direction in free space. The total electric field…

A: Given information: The value of the electric field at 139 m,

Q: An antenna has a loss resistance 10 2, power gain of 20 and directivity 22. Calculate its radiation…

A: Given data: Loss resistance Rloss=10 Ω Power gain G=20 Directivity D=22 The radiation efficiency is…

Q: 24: Determine the gain and directivity for a lossless antenna if the radiated power equals 20 watt…

A: Intensity U=B0cos2θU=B021+cos 2θprod=20wfind G,Dprod=∫ϕ=02π∫θ=0πUθ,ϕ sinθ dθ dϕ

Q: An antenna has a beam solid angle that is equivalent to a trapezoidal patch (patch with 4 sides, 2…

A: ANTENNA : An antenna is a metallic structure that gathers and/or transmits radio electromagnetic…

Q: Given a wire dipole antenna 0.15m long constructed with #2OAWG copper wire (conductivity 5.8 x 10'…

A: The length of the dipole antenna is given as If f Hz is the operating frequency of an antenna, then…

Q: A slab of dielectric material has a relative dielectric constant of 3.8 and contains a uniform…

A: Given parameters: For a given lossless material Dielectric constant, εr = 3.8 Uniform electric flux…

Q: The radial component of the radiated power density of an infinitesimal linear dipole of length is…

A: Radiated power can be calculated as, Radiation intensity is given by,

Q: A half wave dipole antenna is having a length equal to half of the wavelength. If the efficiency of…

A: For a dipole antenna, the value of the radiation resistance can be evaluated using the following…

Q: An infinitesimal electric dipole of length l and constant current /, is placed along the xz-plane…

A: Ep=jηKIol4πre-jkrsinψ -----→Electric field Hz=jKIol4πr e-jkrsinψ ---------→magnetic field…

Q: 5) Calculate the radiation resistance of λ/2, λ/4, λ/8 dipole in free space.

A: Given, Length of dipole antenna1 (L1)= λ/2 Length of dipole antenna1 (L2)= λ /4 Length of dipole…

Q: 23: (a) What does mean by directivity of antenna? Explain For an antenna, derive an expression for…

Q: Calculate the radiation resistance of a half-wave dipole antenna if the feedpoint is 0.5 m from one…

A: It is given that: L=0.5 mf=300 MHz=300×106 Hz

Q: (i) (a) Explain Critical frequency and Virtual height. (b) Assume that reflection takes place at a…

A: (i) (a) Critical frequency The maximum frequency of the wave which could be sent normally to the…

Q: with aid of equations plot current distribution of the following antennas: 1. Short dipole antenna…

Concept explainers

Antenna Characteristics

The antenna is an important concept in the domain of electronics and communication engineering. An antenna forms an integral part of many commonly used devices such as wireless modems, routers, game controllers, mobile phones, bluetooth devices, and so on. In simple terms, any wireless communication makes use of antennas to serve the purpose. An antenna, also known by the term 'arial', is an electrical device that converts electrical signals into electromagnetic waves or electromagnetic waves into electrical signals. An antenna contains a transmission line usually made up of co-axial cable, it then receives the signals and converts them into electromagnetic waves, which are then transmitted via space into their required destination. A communication system essentially makes use of two antennas, a transmission antenna, which converts electrical signals into electromagnetic waves, and a receiving antenna, which receives the electromagnetic waves and converts them back into electrical signals.

Question

2.7. The power radiated by a lossless antenna is 10 watts. The directional characteristics of the
antenna are represented by the radiation intensity of
(a) U = B, cos? 0
(b) U = B, cos³ 0 ƒ
(watts/unit solid angle)
(0 <0<1/2,0< ¢ < 2n)
For each, find the
(a) maximum power density (in watts/square meter) at a distance of 1,000 m (assume far-
field distance). Specify the angle where this occurs.
(b) exact and approximate beam solid angle Q4.
(c) directivity, exact and approximate, of the antenna (dimensionless and in dB).
(d) gain, exact and approximate, of the antenna (dimensionless and in dB).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Two antennas located at points A and B are broadcasting radio waves of frequency 96 MHz. The signals start in phase with each other. The two antennas are separated by a distance d=11.2 m. An observer is located at point P on the x axis, a distance x=97 m from antenna A. The points A, P and B form a right triangle. A) What is the phase difference between the waves arriving at P from antennas A and B? Enter your answer in radians (rad). 1.2957 rad (correct) B) Now observer P walks along the x axis toward antenna A. What is P's distance from A when they first observe fully constructive interference between the two waves? 20.0704 m (incorrect) C) If observer P continues walking until they reach antenna A, at how many places along the x axis (including the place you found in the previous problem) will they find maxima in the radio signal due to constructive interference? 4 (incorrect) Can you please help with parts B and C.
In free space " check image " Find the average power crossing a circular area of radius 2 meters in a plane ? = 0.
The figure below shows a radio-wave transmitter and a receiver separated by a distance d = 47.0 m and both a distance h = 27.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180° phase shift occurs upon reflection. Determine the longest wavelengths that interfere in the following ways. O Transmitter Receiver (a) constructively (b) destructively
If the Directivity of an antenna is defined by D = Do sin 0= 1.8 sin 0 Draw/Sketch the polar plot of the Directivity of the antenna and show the computations (for angles: 0°, 30°, 45°, 60° and 90%).
9. If the beam width of an antenna in two orthogonal planes are 30° and 60°. Then the directivity of the antenna is: a) b) 18 c) 36 d) 12 24 EC
Show that the directivity of isotropic antenna is 1.
1. Which trigonometric function is used to find the angle if the length of the hypotenuse and of the adjacent side are known?
What is the required bandwidth according to the Carson's rule, when a 100 MHz carrier is modulated with a sinusoidal signal at 1KHz, the maximum frequency deviation being 50 KHz.
Q1) Very low signal strength in antenna. * Antenna patterns O Major lobes O Minor lobes O Null
If the maximum dimension of an antenna is 0.15 m and the frequency is 1 * GHz the distance 0.5 m represents
Question 2 We consider an antenna with the following radiation intensity: U(0) = 5sin² 0 1. Calculate the antenna directivity. 2. Calculate the antenna beamwidth. 3. Calculate the gain if the efficiency of the antenna is known to be 60%.
The gain of a parabolic reflector antenna is 1000 when the frequency is 300 MHz. If the mouth of the reflector aperture is circular, then what will be the aperture of the mouth?